A326833 Numbers whose sum of digits is a power of 10.

1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 109, 118, 127, 136, 145, 154, 163, 172, 181, 190, 208, 217, 226, 235, 244, 253, 262, 271, 280, 307, 316, 325, 334, 343, 352, 361, 370, 406, 415, 424, 433, 442, 451, 460, 505, 514, 523, 532, 541, 550, 604, 613

Offset: 1

Author

Alois P. Heinz, Oct 20 2019

Keywords

• nonn
• base

Links

• Alois P. Heinz, Table of n, a(n) for n = 1..43758 (all terms with up to 9 digits)

Crossrefs

Subsequence of A326806.

Cf. A007953, A017173, A028838, A052224, A328560.

Programs

Maple

q:= n-> (m-> m>0 and m=10^ilog[10](m))(add(i, i=convert(n, base, 10))):
select(q, [$1..1000])[];

PARI

isok(n) = my(s=sumdigits(n), k); (s==1) || (s==10) || (ispower(s,,&k) && (k==10)); \\ Michel Marcus, Oct 21 2019